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Finding the Fourth Proportional to 16,523.40, 24,785.10 and 8,747.40

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Solution

The fourth proportional to 16,523.40, 24,785.10 and 8,747.40 is: 13,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.40 : 24,785.10 = 8,747.40 : x
  2. Step 2: Convert to fraction form
    16,523.40/24,785.10 = 8,747.40/x
  3. Step 3: Cross multiply
    16,523.40x = 24,785.10 × 8,747.40
  4. Step 4: Simplify right side
    16,523.40x = 216,805,183.74
  5. Step 5: Solve for x
    x = 216,805,183.74/16,523.40
  6. Step 6: Final answer
    x = 13,121.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.